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Finding the Fourth Proportional to 123,155.25, 184,732.92 and 29,661

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Solution

The fourth proportional to 123,155.25, 184,732.92 and 29,661 is: 44,491.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,155.25 : 184,732.92 = 29,661 : x
  2. Step 2: Convert to fraction form
    123,155.25/184,732.92 = 29,661/x
  3. Step 3: Cross multiply
    123,155.25x = 184,732.92 × 29,661
  4. Step 4: Simplify right side
    123,155.25x = 5,479,363,140.12
  5. Step 5: Solve for x
    x = 5,479,363,140.12/123,155.25
  6. Step 6: Final answer
    x = 44,491.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.